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164140410 = 23571136917
BaseRepresentation
bin10011100100010…
…01010101111010
3102102212012022110
421302021111322
5314004443120
624142033150
74032112320
oct1162112572
9372765273
10164140410
1184720135
1246b787b6
1328010205
1417b29d10
15e6242e0
hex9c8957a

164140410 has 64 divisors (see below), whose sum is σ = 454263552. Its totient is φ = 37180416.

The previous prime is 164140409. The next prime is 164140421. The reversal of 164140410 is 14041461.

164140410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20272 + ... + 27188.

It is an arithmetic number, because the mean of its divisors is an integer number (7097868).

Almost surely, 2164140410 is an apocalyptic number.

164140410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227131776).

164140410 is an abundant number, since it is smaller than the sum of its proper divisors (290123142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164140410 is a wasteful number, since it uses less digits than its factorization.

164140410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 164140410 is about 12811.7293914600. The cubic root of 164140410 is about 547.5265348579.

Adding to 164140410 its reverse (14041461), we get a palindrome (178181871).

The spelling of 164140410 in words is "one hundred sixty-four million, one hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 6917 7910 11865 13834 20751 23730 34585 41502 48419 69170 96838 103755 145257 207510 242095 290514 484190 726285 781621 1452570 1563242 2344863 3908105 4689726 5471347 7816210 10942694 11724315 16414041 23448630 27356735 32828082 54713470 82070205 164140410